x + 2y = 4 2x + z = 5 y - 3z = -6 Tentukan nilai x , y , dan z mohon bantuannya

2y = 4 - x
y = 2 - x/2

y - 3z = -6
2 - x/2 - 3z = -6
-x/2 - 3z = -6 - 2
-x/2 - 3z = -8

2x + z = 5 (× 6)
-x/2 - 3z = -8 (× 2)

12x + 6z = 30
...-x - 6z = -16
-------------------- +
11 x = 14
x = 14/11

x + 2y = 4
14/11 + 2y = 4
2y = 4 - 14/11
2y = 44/11 - 14/11
2y = 30/11
y = (30/11)/2
y = 30/22
y = 15/11

y - 3z = -6
15/11 -3z = -6
3z = 15/11 + 6
3z = 15/11 + 66/11
3z = 81/11
z = (81/11)/3
z = 81/33
z = 27/11

Jadi nilai x , y , dan z adalah 14/11 , 15/11 , dan 27/11